In a crystal at \( 827^{\circ} \mathrm{C} \) one out of \( 10^{10} \) lattice site is found to b...

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In a crystal at \( 827^{\circ} \mathrm{C} \) one out of \( 10^{10} \) lattice site is found to be vacant but at \( 927^{\circ} \mathrm{C} \), one out of \( 2 \times 10^{9} \) lattice sites is found to be vacant. The enthalpy of vacancy formation in \( \mathrm{kJ} / \mathrm{mol} \) is
(a) \( 76.8 \)
(b) \( 176.8 \)
(c) \( 33.8 \)
(d) \( 23.8 \)
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